GCD of 472, 726, 686, 657 Calculator

Given Input numbers are 472, 726, 686, 657

In the factoring method, we have to find the divisors of all numbers

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (472, 726, 686, 657) = 1.

Given numbers are 472, 726, 686, 657

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 657 are 3 x 3 x 73

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 472, 726, 686, 657

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(472, 726) = 171336

GCD(472, 726) = ( 472 x 726 ) / 171336

= 472 / 726

= 472

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

= 2 / 657

= 2

So, Greatest Common Divisor of 472, 726, 686, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 815, 107, 407
• GCD of 101, 457, 935, 783
• GCD of 226, 311, 325, 646
• GCD of 114, 786, 985, 806
• GCD of 990, 627, 953, 353

Given numbers are 472, 726, 686, 657
The greatest common divisor of numbers 472, 726, 686, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 726, 686, 657 is 1.

1. What is the GCD of 472, 726, 686, 657?

GCD of given numbers 472, 726, 686, 657 is 1

2. How to calculate the greatest common divisor of 472, 726, 686, 657?

We can find the highest common divisor of 472, 726, 686, 657 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 472, 726, 686, 657 i.e 1.

3. How can I use the GCD of 472, 726, 686, 657Calculator?

Out the numbers 472, 726, 686, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.